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153064332 = 223217923753
BaseRepresentation
bin10010001111110…
…01001110001100
3101200000110210100
421013321032030
5303141024312
623104411100
73536011461
oct1107711614
9350013710
10153064332
1179445553
1243316a90
1325932915
1416485668
15d6875dc
hex91f938c

153064332 has 36 divisors (see below), whose sum is σ = 389090520. Its totient is φ = 50734272.

The previous prime is 153064319. The next prime is 153064339. The reversal of 153064332 is 233460351.

It is a happy number.

153064332 is a `hidden beast` number, since 15 + 3 + 0 + 643 + 3 + 2 = 666.

153064332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 153064296 and 153064305.

It is not an unprimeable number, because it can be changed into a prime (153064339) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5433 + ... + 18320.

It is an arithmetic number, because the mean of its divisors is an integer number (10808070).

Almost surely, 2153064332 is an apocalyptic number.

153064332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153064332 is an abundant number, since it is smaller than the sum of its proper divisors (236026188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

153064332 is a wasteful number, since it uses less digits than its factorization.

153064332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23942 (or 23937 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 153064332 is about 12371.9170705271. The cubic root of 153064332 is about 534.9230762550.

The spelling of 153064332 in words is "one hundred fifty-three million, sixty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 179 358 537 716 1074 1611 2148 3222 6444 23753 47506 71259 95012 142518 213777 285036 427554 855108 4251787 8503574 12755361 17007148 25510722 38266083 51021444 76532166 153064332